If `bara,barb,barc` are three non coplanar vectors `barp=((barbxxbarc))/([bara barb bar c]),bar q=(barcxxbara)/([bara barb barc]),barr=(baraxxbarb)/([bara bar b barc])` then `(2bara+3barb+4barc)*barp+(2barb+3barc+4bara)*barq+(2barc+3bara+4barb)*barr=`

If bara,barb,barc are non-coplaner vectors and barp=(barbxxbarc)/([barabarb barc]),barq=(barcxxbara)/([barabarb barc]),barr=(baraxxbarb)/([barabarb barc]) then bara.barp+barb.barq+barc.barr=

If bara,barb,barc are non-coplaner vectors and barp=(barbxxbarc)/([barb barcbara]),barq=(barcxxbara)/([barcbarabarb]),barr=(baraxxbarb)/([barabarb barc]), then : (barb+barc).barp+(barc+bara).barq+(bara+barb).barr=

If bara,barb,barc are three non-coplanar vectors and barp,barq,barr are defined by the relations barp=(barbxxbarc)/(bara barb barc),barq=(barcxxbara)/(bara barb barc),barr=(baraxxbarb)/(bara barb barc) then (bara+barb).barp+(barb+barc).barq+(barc+bara).barr=

If bara,barb,barc are three coplanar vectors, then [bara+barb" "barb+barc" "barc+bara]=

If bara, barb,barc are non-coplanar vectors, then (bara+barb+barc).(bara+barb)xx(bara+barc)=

If bara,barb,barc are non-coplaner vectors, then (bara.(barbxxbarc))/(barb.(barcxxbara))+(barb.(baraxxbarc))/(barc.(baraxxbarb))=

If bara,barb,barc be any three non-coplanar vectors, then [bara+barb" "barb+barc" "barc+bara]=

If barA, barB and barC are three non-coplanar vectors, then : (barA.barBxxbarC)/(barCxxbarA.barB)+(barB.barAxxbarC)/(barC.barAxxbarB)=…

If bara,barb and barc are three non-coplanar vectors, then : (bara + barb + barc) · [(bara + barb) xx (bara + barc)] =

bara.(barb+barc)xx(bara+barb+barc)=